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Andrew Eckart · Answer 1 · 2019-09-07T17:15:50+0000

In order to find x, we first need to solve the ABC for side BC, then we can solve the right triangle from BC's length.
The left triangle is a 45-45-90. And the sides are:

$y-y-y √(2) \\ so \: x √(2) \: = 6 √(2) \\ y(bc) = (6 √(2))/(√(2) ) = 6$
for the right 30-60-90, the ratios are:

$x - x √(3) - 2x \\ so \: 2x = 6 \\ x = 3$

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